A Design of Overlapped Chunked Code over Compute-and-Forward in Multi-Source Multi-Relay Networks

A physical-layer network coding approach, compute-and- forward based on nested lattice code (NLC), is considered for multi-source multi-relay networks. This paper proposes a design of overlapped chunked code (OCC) which is applied before NLC, which we call OCC/CF. Random linear network coding is applied within each chunk. Only the transmissions from the sources to the relays are considered. The design is based on the empirical rank distribution and the empirical probability distributions of the participation factor of all sources. A consecutive OCC is employed with the proposed design to investigate the performance of OCC/CF. From the numerical results, the design overhead of OCC/CF is low when the probability distribution of the participation factor is dense at chunk size for each source.